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LeanPool.NFWeakPartition.Certificates.NAR4C078C001Block017

Nominal proof certificates grouped in dependency order.

Certificates from NAR4C078C001Part054.

source
noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0023 (x y f : SemanticCore.Var) :
Nominal.TAlphaWff [(nb078AlphaDummy101, nb078AlphaDummy102 f), (nb078AlphaDummy099, nb078AlphaDummy100 f), (nb078AlphaDummy090, nb078AlphaDummy092 f), (nb078AlphaDummy089, nb078AlphaDummy091 f), (nb078AlphaDummy093, nb078AlphaDummy094 f), (nb078AlphaDummy204, nb078AlphaDummy206 f), (nb078AlphaDummy203, nb078AlphaDummy205 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy101) (SemanticCore.Class.cab nb078AlphaDummy095 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy096 (SemanticCore.Class.cv nb078AlphaDummy089) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy095) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy101) (SemanticCore.Class.cab nb078AlphaDummy095 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy096 (SemanticCore.Class.cv nb078AlphaDummy089) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy095) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy102 f)) (SemanticCore.Class.cab (nb078AlphaDummy097 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy098 f) (SemanticCore.Class.cv (nb078AlphaDummy091 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy097 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy102 f)) (SemanticCore.Class.cab (nb078AlphaDummy097 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy098 f) (SemanticCore.Class.cv (nb078AlphaDummy091 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy097 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f))))))).neg)

Checked nominal proof certificate identified upstream as nb078_split_alpha_0023.

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    Certificates from NAR4C078C001Part055.

    source
    noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0024 (x y f : SemanticCore.Var) :
    Nominal.TAlphaWff [(nb078AlphaDummy127, nb078AlphaDummy128 f), (nb078AlphaDummy096, nb078AlphaDummy098 f), (nb078AlphaDummy095, nb078AlphaDummy097 f), (nb078AlphaDummy125, nb078AlphaDummy126 f), (nb078AlphaDummy099, nb078AlphaDummy100 f), (nb078AlphaDummy090, nb078AlphaDummy092 f), (nb078AlphaDummy089, nb078AlphaDummy091 f), (nb078AlphaDummy093, nb078AlphaDummy094 f), (nb078AlphaDummy204, nb078AlphaDummy206 f), (nb078AlphaDummy203, nb078AlphaDummy205 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy127) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy096)))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy127) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy128 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy098 f))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy128 f)) (Compiler.CompactSourceSyntax.synCcompl (Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))).neg)

    Checked nominal proof certificate identified upstream as nb078_split_alpha_0024.

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      Certificates from NAR4C078C001Part056.

      source
      noncomputable def NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb078SplitAlpha0025 (x y f : SemanticCore.Var) :
      Nominal.TAlphaWff [(nb078AlphaDummy137, nb078AlphaDummy138 f), (nb078AlphaDummy135, nb078AlphaDummy136 f), (nb078AlphaDummy090, nb078AlphaDummy092 f), (nb078AlphaDummy089, nb078AlphaDummy091 f), (nb078AlphaDummy093, nb078AlphaDummy094 f), (nb078AlphaDummy204, nb078AlphaDummy206 f), (nb078AlphaDummy203, nb078AlphaDummy205 f), (nb078AlphaDummy000, f), (nb078AlphaDummy004, y), (nb078AlphaDummy003, x)] ((SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy137) (SemanticCore.Class.cab nb078AlphaDummy131 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy132 (SemanticCore.Class.cv nb078AlphaDummy090) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy131) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132)))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb078AlphaDummy137) (SemanticCore.Class.cab nb078AlphaDummy131 (Compiler.CompactSourceSyntax.synWrex nb078AlphaDummy132 (SemanticCore.Class.cv nb078AlphaDummy090) (SemanticCore.Wff.classEq (SemanticCore.Class.cv nb078AlphaDummy131) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb078AlphaDummy132)))))).neg) ((SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy138 f)) (SemanticCore.Class.cab (nb078AlphaDummy133 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy134 f) (SemanticCore.Class.cv (nb078AlphaDummy092 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy133 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f))))))).imp (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb078AlphaDummy138 f)) (SemanticCore.Class.cab (nb078AlphaDummy133 f) (Compiler.CompactSourceSyntax.synWrex (nb078AlphaDummy134 f) (SemanticCore.Class.cv (nb078AlphaDummy092 f)) (SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb078AlphaDummy133 f)) (Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb078AlphaDummy134 f))))))).neg)

      Checked nominal proof certificate identified upstream as nb078_split_alpha_0025.

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